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General Gittins index processes in discrete time.

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PubMed Central1993-02-15 更新2026-05-16 收录
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We combine the formulation of Mandelbaum [Mandelbaum, A. (1986) Probab. Theory Rel. Fields 71, 129-147] with ideas from Whittle [Whittle, P. (1980) J. R. Stat. Soc. B 42, 143-149] to obtain a simple and constructive proof for the optimality of Gittins index processes in the general, nonmarkovian dynamic allocation (or "multi-armed bandit") problem. Our approach also provides an explicit expression for the value of this problem.

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1993-02-15
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